Parallel lepton mass matrices with texture and cofactor zeros

Abstract

In this paper we investigate the parallel texture structures containing texture zeros in charged lepton mass matrix M l and cofactor zeros in neutrino mass matrix M ν . These textures are interesting since they are related to the Z n flavor symmetries. Using the weak basis permutation transformation, the 15 parallel textures are grouped as 4 classes (class I,II,III and IV) with the matrices in each class sharing the same physical implications.Under the current experimental data, the class I, III with inverted mass hierarchy and class II with normal mass hierarchy are phenomenologically acceptable. The correlations between some important physical variables are presented, which are essential for the model selection and can be text by future experiments. The model realization is illustrated by means of Z 4 × Z 2 flavor symmetry.

A complete survey of texture zeros in the lepton mass matrices

“…As for cases with M ℓ non-diagonal, studies are usually confined to instances where both the charged-lepton and the neutrino mass matrix have a Fritzsch-like texture [28,29] or extensions of it-see [30][31][32][33][34][35][36][37][38][39][40][41][42][43][44] and references therein. In general, one can define "parallel textures" as those where M ℓ and M L or M D have the same texture [45,46]. For a recent review on textures we refer the reader to [47].In this paper we perform a systematic numerical study of all possibilities of texture zeros in the charged-lepton and neutrino mass matrices.…”

Probing texture zeros with scaling ansatz in inverse seesaw

“…Our goal in this work is to find out a phenomenologically viable texture of m D and µ with minimum number of parameters or equivalently maximum number of zeros. We bring together two theoretical ideas to find out a minimal texture and they are i) Scaling ansatz [17][18][19][20][21][22][23][24][25][26][27], ii) Texture Zeros [28][29][30][31][32][33][34][35][36][37][38][39][40][41][42][43][44][45].…”

Phenomenology of Trimaximal Mixing with One Texture Equality

“…Several predictive models such as texture zeros , vanishing cofactors [26][27][28][29][30][31][32][33][34][35][36][37], equalities among elements/ cofactors [38,39], and hybrid textures [40][41][42][43][44][45][46] amongst others can explain the presently available neutrino oscillation data, since the presence of texture equalities, just like texture zeros or vanishing cofactors, reduces the number of free parameters in the neutrino mass matrix and, hence, must have a similar predictability as that of texture zeros or vanishing cofactors. In the flavor basis, neutrino mass matrices with one texture equality and two texture equalities have been studied in the literature [38,39].…”